4. An American Roulette wheel contains 18 red numbers, 18 black numbers, and 2 green numbers. The following table shows the frequency with which the ball landed on each color in 200 trials Number Frequency Red 88 Black 102 Green 10 Do the data suggest that the wheel is out of balance? Test at the 5% significance level. (8 marks) 5. In the article "When News Reporters Deceive: The Production of Stereogtypes" (Journalism and Mass Communication Quarterly, Vol. 84, No. 2, pp. 281-289), researchers D. Lasorsa and J. Dai investigated the relationship between authenticity and tone for news stories. Tone was measured by using a method of coding sentences and was categorized as positive, neutral, or negative. A sample of stories yielded the following data. Authenticity Authentic Deceptive Total Negative 59 111 170 Tone Neutral 49 61 110 Positive 20 11 31 Total 128 183 311 At the 5% significance level, do the data provide sufficient evidence to conclude that an association exists between authenticity and tone? (8 marks) 3